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marieroberts8122
12.07.2019 •
Mathematics
Below are two different functions, f(x) and g(x). what can be determined about their slopes? f(x)= −1x + 1athe function f(x) has a larger slope. bthe function g(x) has a larger slope. cthey both have the same slope. dthe relationship between slopes cannot be determined.
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Ответ:
They have the same slope. The slope of f(x) is 3 because it is the m in f(x)=mx+b. In the graph of g(x), the slope can be found by change in y divided by change in x, or rise over run. Between x=0 and x=1, the y value increases by three, from 2 to 5. The slope of g(x) is 3/1=1.
Hope this helps!
Ответ:
Answer with explanation
The Function , f(x)= -1 x +1
Slope of f(x)=-1
Equation of function , g(x),that is, line passing through ,(0,3) and (2,-1) can be obtained by
Equation of line passing through two points ,
is,
→![\frac{y-3}{x-0}=\frac{3+1}{0-2}\\\\ \frac{y-3}{x}=\frac{4}{-2}\\\\y-3=-2 x\\\\ 2 x+y=3](/tpl/images/0079/4308/0a8db.png)
g(x)= 2 x+y=3
y= -2 x+3
Slope of g(x)= -2
-1 > -2
So, Slope of f(x) > Slope of g(x)
Option a: The function f(x) has a larger slope.
Ответ: